Finding the Fourth Proportional to 285.26, 427.68 and 122.78
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Solution
The fourth proportional to 285.26, 427.68 and 122.78 is: 184.09
Step by Step Solution
- Step 1: Write the proportion equation
285.26 : 427.68 = 122.78 : x - Step 2: Convert to fraction form
285.26/427.68 = 122.78/x - Step 3: Cross multiply
285.26x = 427.68 × 122.78 - Step 4: Simplify right side
285.26x = 52,511.62 - Step 5: Solve for x
x = 52,511.62/285.26 - Step 6: Final answer
x = 184.09
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.